Engineering Transactions, 30, 3-4, pp. 397-404, 1982

Lyapunov Functional for Lateral Buckling of I Beams Subjected to Pure Bending

T.A. Akeju
Department of Civil Engineering, University of Lagos, Lagos
Nigeria

Lateral buckling of I beams subjected to pure bending is investigated by the direct method of Laypunov. A metric space and an energy type Lyapunov functional are proposed for the solution of the problem. These readily yield familiar expressions for the buckling loads of simply supported and fixed ended beams.

Full Text: PDF

References

V. I. ZUBOV, Methods of A. M. Lyapunov and their applications, Leningrad 1957 English Trans­Iation: P. Noordboff Limited, Groningen, Holland 1964.

C. L. DYM, Stability theory and its application to structural mechanics, Noordhoff International Publishing, The Netherlands 1974.

G. WINTER, Lateral stability of unsymmetrical I-beams and trusses in bending, Transactions, ASCE, 108, 247-260, 1943.

S. P. TIM0SHENK0, J. M. GERE, Theory of elastic stability, McGraw Hill, New York, 1961.

G. H. HARDY, J. E. LITTLEWOOD and G. PoLYA, lnequalities, Cambridge University Press, 1952.

R. K. KNOPS, E. W. WILK.ES, On Movchan's theorem for stability of continuous systems, Int. J. Engng. Sci., 4, 4, 303-329, 1966.




Copyright © 2014 by Institute of Fundamental Technological Research
Polish Academy of Sciences, Warsaw, Poland